Robert Vrabel
Abstract:
This article concerns the existence and asymptotic behavior
of solutions to a singularly perturbed second-order
four-point boundary-value problem for nonlinear differential
equations. Our analysis relies on the method of lower and
upper solutions. We give accurate approximations of the
solutions up to order
.
Submitted January 5, 2010. Published February 7, 2011.
Math Subject Classifications: 34K10, 34K26.
Key Words: Singular perturbation; four point boundary value problem;
lower and upper solutions.
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Robert Vrabel Institute of Applied Informatics, Automation and Mathematics Faculty of Materials Science and Technology Hajdoczyho 1, 917 01 Trnava, Slovakia email: robert.vrabel@stuba.sk, epsilon.phi1@gmail.com |
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